arXiv 1106.04672011-06-02hep-ph

强子低能弱相互作用的全息研究

A holographic approach to low-energy weak interactions of hadrons

Luigi Cappiello, Oscar Cata, Giancarlo D'Ambrosio

备注：: 20 pages
DOI：: 10.1103/PhysRevD.85.015003

摘要：

我们应用双迹形式将强子的非轻子弱相互作用纳入到强相互作用的全息模型中。我们把注意力集中在$ΔS=1$非轻子K介子衰变上。通过与杨米尔斯-陈-西蒙斯5维行动，我们明确地表明，在低能量下，恢复$ΔS=1$弱手征拉格朗日的异常和非异常部门。我们提供了明确的预测的低能量系数的AdS度量，并认为双迹形式主义是一个5维的化身很久以前介绍的弱变形模型Ecker等人。作为一个重要的唯象应用，我们重新评估的$K\to 3π$衰变的光的全息模型。先前的模型发现了这些衰变中共振交换的微调抵消，这在概念上令人困惑，在定量上与实验结果不一致。我们建立的全息模型是一个说明性的反例，表明在文献中遇到的取消是不是通用的，而是一个依赖于模型的声明，可以得到与实验的协议。

英文摘要：

We apply the double-trace formalism to incorporate nonleptonic weak interactions of hadrons into holographic models of the strong interactions. We focus our attention upon $ΔS=1$ nonleptonic kaon decays. By working with a Yang-Mills--Chern-Simons 5-dimensional action, we explicitly show how, at low energies, one recovers the $ΔS=1$ weak chiral Lagrangian for both the anomalous and nonanomalous sectors. We provide definite predictions for the low energy coefficients in terms of the AdS metric and argue that the double-trace formalism is a 5-dimensional avatar of the Weak Deformation Model introduced long ago by Ecker et al. As a significant phenomenological application, we reassess the $K\to 3π$ decays in the light of the holographic model. Previous models found a fine-tuned cancellation of resonance exchange in these decays, which was both conceptually puzzling and quantitatively in disagreement with experimental results. The holographic model we build is an illustrative counterexample showing that the cancellation encountered in the literature is not generic but a model-dependent statement and that agreement with experiment can be obtained.

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英文摘要：

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